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Linear Algebra

  1. Nov 1, 2007 #1
    Let A be an m × n matrix of rank r and let A = U[tex]\Sigma[/tex]V be an SVD of A. Prove that

    Av[tex]^{j}[/tex]= sigma^j* u[tex]^{j}[/tex] for 1<=j<=r

    What is Av^j for r + 1<=j<=n?
     
  2. jcsd
  3. Nov 1, 2007 #2

    CompuChip

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    Well, what do you think?
     
  4. Nov 1, 2007 #3
    I don't know, that's why I am asking
     
  5. Nov 2, 2007 #4
    You must have some idea.
     
  6. Nov 2, 2007 #5
    I really don't
     
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